Impulse buy! 28” baritone neck, tuning and string questions

On a whim I bought a 28” baritone conversion neck.

having never researched or intending to buy one previously I have a few questions about tuning and strings.

I’ll be putting the neck on an old project body with a bigsby. So a string set for a 30” scale may Work.

I would prefer to tune to sub-octave like a bass vi.

What string set should I be looking at?

I would like the low string to not be larger than .090